Continuity of Multimarginal Optimal Transport with Repulsive Cost
| Autor: | Simone Di Marino, Federico Stra, Maria Colombo |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Kantorovich potential
Property (philosophy) Applied Mathematics Mathematical analysis Density functional theory Multimarginal optimal transport 01 natural sciences Measure (mathematics) marginal optimal transport Kantorovich potentials multimarginal optimal transport density functional theory Kantorovich potentials coulomb 010101 applied mathematics Computational Mathematics multimarginal optimal transport 0101 mathematics Analysis density functional theory Mathematics |
| Popis: | We provide sharp conditions for the finiteness and the continuity of multimarginal optimal transport with repulsive cost, expressed in terms of a suitable concentration property of the measure. To achieve this result, we analyze the Kantorovich potentials of the optimal plans, and we estimate the distance of any optimal plan from the regions where the cost is infinite. |
| Databáze: | OpenAIRE |
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